5 problems

Let $n\geq 1$, let $S_i\subset\mathbb{R}^{n+1}$, $1\leq i\leq n+1$, be smooth, compact hypersurfaces, and let $\mathcal E_i$ be their extension operators. The $k$-linear restrictio…

For each $1\leq j\leq d$, let $U_j$ be a parameter domain, let $\Sigma_j:U_j\to\mathbb{R}^d$ be smooth, and let $\mathcal{E}_j$ be the associated extension operator. Define … Assum…

Removal of the epsilon-loss conjecture. The factor $R^\epsilon$ can be removed from this estimate, so that

Let $S_i$, $i=1,\ldots,k$, be hypersurfaces satisfying the relevant transversality condition, and suppose they satisfy appropriate curvature hypotheses. For the multilinear restric…

Let $n\geq 1$, let $U_i\subset\mathbb{R}^n$ be bounded parameter domains, and let $S_i\subset\mathbb{R}^{n+1}$ be smooth, compact hypersurfaces parametrized by smooth maps…